Hugel Beet is a new term for me. But that is exactly what I set up for my wife last year. I used 2"x12" lumber and build a hugel beet 2 feet tall and 6 feet long. filled 2/3 with punky firewood and larger sticks and stems from the compost pile, then topped it off with screened compost from the pile using a 2" x 4" frame with 1/4" hardware cloth for the screen. There was already some dirt and sand mixed in the compost so we just left it at that. After an initial watering, the compost stayed wet almost all summer long with only a few extra waterings. Seemed moist compost was always just a few inches beneath the surface. Beans, tomato, cucumber, peppers, lettuce. All grew exceptionally well and were even more pleased that we didn't have to bend over hardly at all to enjoy any of it.
Planning on building 5 more this year. Maybe bigger, like 2 1/2 x 8.